What is the Least Common Multiple of 90093 and 90099?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 90093 and 90099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90093 and 90099, than apply into the LCM equation.

GCF(90093,90099) = 3
LCM(90093,90099) = ( 90093 × 90099) / 3
LCM(90093,90099) = 8117289207 / 3
LCM(90093,90099) = 2705763069

Least Common Multiple (LCM) of 90093 and 90099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90093 and 90099. First we will calculate the prime factors of 90093 and 90099.

Prime Factorization of 90093

Prime Factorization of 90099

Now multiplying the highest exponent prime factors to calculate the LCM of 90093 and 90099.

LCM(90093,90099) = 3³ × 59¹ × 509¹ × 47¹ × 71¹
LCM(90093,90099) = 2705763069